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40042024004 = 2240012502001
BaseRepresentation
bin100101010010101100…
…001100110001000100
310211100121010120121002
4211102230030301010
51124001224232004
630221155312432
72615164405523
oct452254146104
9124317116532
1040042024004
1115a88751324
127915bab718
133a119a7438
141d1bdca4ba
15109553861e
hex952b0cc44

40042024004 has 12 divisors (see below), whose sum is σ = 70091084028. Its totient is φ = 20016000000.

The previous prime is 40042023997. The next prime is 40042024019.

40042024004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 20634747904 + 19407276100 = 143648^2 + 139310^2 .

It is a super-3 number, since 3×400420240043 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1234997 + ... + 1267004.

It is an arithmetic number, because the mean of its divisors is an integer number (5840923669).

Almost surely, 240042024004 is an apocalyptic number.

It is an amenable number.

40042024004 is a deficient number, since it is larger than the sum of its proper divisors (30049060024).

40042024004 is a wasteful number, since it uses less digits than its factorization.

40042024004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506006 (or 2506004 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 400420 and 24004, that added together give a palindrome (424424).

The spelling of 40042024004 in words is "forty billion, forty-two million, twenty-four thousand, four".

Divisors: 1 2 4 4001 8002 16004 2502001 5004002 10008004 10010506001 20021012002 40042024004